Mon premier blog

The science of fractal images by Benoit B. Mandelbrot, Dietmar Saupe, Heinz-Otto Peitgen, Michael F. Barnsley, Michael McGuire, Richard F. Voss, Robert L. Devaney, Yuval Fisher

The science of fractal images Benoit B. Mandelbrot, Dietmar Saupe, Heinz-Otto Peitgen, Michael F. Barnsley, Michael McGuire, Richard F. Voss, Robert L. Devaney, Yuval Fisher ebook
Publisher: Springer
Format: djvu
Page: 326
ISBN: 0387966080, 9780387966083

Fractals are unpredictable in specific details yet .. A fractal is “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,”[1] a property called self-similarity. So many things turned out to be fractal that the word "chaos" itself (in operational science) had redefined, or actually for the FIRST time Formally Defined as following inherently unpredictable yet generally deterministic rules based on nonlinear iterative equations. Click on images to display enlargement. Fractal forms—complex shapes which look more or less the same at a wide variety of scale factors, are everywhere in nature. The key is the science of Fractals. Roots of mathematically rigorous treatment of fractals can be traced back to functions studied by Karl Weierstrass The Science of Fractal Images. We have all seen beautiful pictures of fractals – and even noticed that zooming infinitely into a fractal is often a profoundly inspiring even meditative experience. ISBN 0-387-96608-0 · Clifford A. New York: Springer-Verlag, 1988. This got me thinking about how we see and process images, the science of sight, and fractals. Barnsley MF, Devaney RL, Mandelbrot BB, Peitgen HO, Saupe D, Voss RF (1988) The science of fractal images. From the fluctuations in the cosmic Stephen Wolfram's A New Kind of Science and Rudy Rucker's forthcoming The Lifebox, the Seashell, and the Soul (excerpt) argue that many of the processes we see in nature are indeed computations. Fractal Food: Self-Similarity on the Supermarket Shelf.